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Select all the correct answers
Given circle o, diameter AB is drawn intersecting circle o at points A and B. Arc XY is drawn centered at B. Chords AX, AY, and XY are also drawn. Which statements are true about this construction?

Arc AX is congruent to arc AY

Arc X Y is a semicircle

Triangle AXY is an equilateral triangle

Arc BX is congruent to arc BY

Triangle AXY is a right triangle ​


Select All The Correct Answers Given Circle O Diameter AB Is Drawn Intersecting Circle O At Points A And B Arc XY Is Drawn Centered At B Chords AX AY And XY Are class=

Sagot :

The true statements about the construction are:

  • Arc AX is congruent to arc AY
  • Triangle AXY is an equilateral triangle
  • Arc BX is congruent to arc BY

How to determine the true statements?

From the construction, we have the following highlights

Chords AX, AY and XY are congruent.

The above means that:

  • Arc XY and AY are congruent
  • Triangle AXY is an equilateral triangle
  • Arc B and BY are congruent

Hence, the true statements are (a), (c) and (d)

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